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1-2-3 Remainder Resolution (Posted on 2016-02-16) Difficulty: 3 of 5
Abe challenges Bee to determine a 3-digit positive integer N.
It is known that the number formed by the last two digits of N when divided by 9, yields a remainder of 3.

Abe makes the following statements, precisely one of which is false:
  1. N divided separately by each of 2, 4, 6, and 8 yields a remainder of 1.
  2. N divided separately by each of 5 and 7 yields a remainder of 2.
  3. N divided separately by each of 5 and 11 yields a remainder of 3.
Determine the value of N from the above statements and given clues.

No Solution Yet Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution my way - final answers | Comment 5 of 12 |
Just looking at the problem on the board perceived that the  last two digits must be  21+18k  i.e 21,39,57,75 and 93.

Looking at the last digit mod 5 only 57 and 93 remained.

checking for hundreds:

 457 and  993   both qualify

The statement "Abe makes the following statements, precisely one of which is false:" is a false statement.


  Posted by Ady TZIDON on 2016-02-16 12:29:19
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